A method for brewing beverages in a machine, which comprises: (a) providing a machine comprising a clamp which is adapted to hold a beverage brewing sachet and a liquid injector tube for injecting liquid into a sachet held in the clamp, wherein the injector tube has a tip and an outlet hole in said tip; (b) providing a beverage brewing sachet containing a beverage brewing ingredient and having at least one side wall region formed of flexible film; (c) inserting the sachet into the clamp; (d) piercing the flexible film in the side wall region of the sachet with the liquid injector tube; and (e) injecting liquid into the sachet through the injector tube to brew the beverage in the sachet, wherein, following step (d), a flap of the flexible film material extends inwardly from said side wall and over the outlet hole of the injector to form a valve that allows liquid to flow into the sachet from the injector tube, but that blocks or restricts the flow of liquid or solid materials into the injector tube from inside the sachet. Also provided is a beverage brewing apparatus for brewing beverages in accordance with the invention.